You do understand that a 10% property tax is outrageous, don't you?
Imagine an old person who lives in a "average" house, worth about $300,000. This retiree has been living in the house for decades and owns the house free and clear. In most counties, that person would pay about $3000 in property taxes. But you're going to have that person pay $30,000 a year? That exceeds the maximum SS payment, so you're going to bankrupt them and force them out of their house. And any apartment they tried to move to would be similarly taxed, so the rent would need to be outrageously high, to cover not only the mortgage but also the property tax. So apartments would become unaffordable for retirees (and many other people), and they'd have absolutely nowhere to live, except on the street.
Great idea.
Oh, and your income tax "solution" is equally absurd.